# MCQ Questions for Class 10 Maths Chapter 14 Statistics with Answers

Students are advised to solve the Statistics Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Statistics Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Statistics Class 10 with answers provided with detailed solutions by looking below.

Question 1.

Which of the following is true?

(a) Mode = 2Median – Mean

(b) Mode = 3Median + 2Mean

(c) Mode = 3Median – 2Mean

(d) None of these

## Answer

Answer: (c) Mode = 3Median – 2Mean

Question 2.

The mean of the first 10 multiples of 6 is

(a) 3.3

(b) 33

(c) 34

(d) none of these

## Answer

Answer: (b) 33

Question 3.

In the given data if n = 230, I = 40, cf = 76, h = 10, f = 65, then its median is

(a) 40

(b) 46

(c) 47

(d) 48

## Answer

Answer: (b) 46

Question 4.

Which of the following is true –

(a) Mode = 3Median + 2Mean

(b) Median = Mode +\(\frac { 3 }{ 2 }\)[Mean – Median]

(c) Mean = Mode + \(\frac { 3 }{ 2 }\)[Median – Mode]

(d) Median = Mode + \(\frac { 3 }{ 2 }\)[Median + Mode]

## Answer

Answer: (c) Mean = Mode + latex]\frac { 3 }{ 2 }[/latex][Median – Mode]

Question 5.

For a symmetrical distribution, which is correct

(a) Mean > Mode > Median

(b) Mode = Mean+ \(\frac { Median }{ 2 }\)

(c) Mean < Mode < Median

(d) Mean = Median = Mode

## Answer

Answer: (d) Mean = Median = Mode

Question 6.

For the following frequency distribution:

Class | Frequency |

0 – 5 | 2 |

5 – 10 | 7 |

10 – 15 | 18 |

15 – 20 | 10 |

20 – 25 | 8 |

25 – 30 | 5 |

If the mode and the median are 12.9 and 14.44 respectively, then the mean is

(a) 15.2

(b) 13

(c) 16

(d) 17

## Answer

Answer: (a) 15.2

Question 7.

Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is

(a) 48

(b) 49

(c) 50

(d) 60

## Answer

Answer: (c) 50

Question 8.

The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 3, 1, 3, 2, 3. The mode of the data is

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (c) 3

Question 9.

While computing mean of a grouped data, we assume that the frequencies are

(a) centered at the lower limits of the classes

(b) centered at the upper limits of the classes

(c) centered at the class marks of the classes

(d) evenly distributed over all the classes

## Answer

Answer: (c) centered at the class marks of the classes

Question 10.

Mode is the

(a) middle most frequent value

(b) least frequent value

(c) maximum frequent value

(d) none of these

## Answer

Answer: (c) maximum frequent value

Question 11.

The mean of the first 10 natural numbers is

(a) 5

(b) 6

(c) 4.5

(d) 5.5

## Answer

Answer: (d) 5.5

Question 12.

The marks obtained by 9 students in Mathematics are 59, 46, 30, 23, 27, 44, 52, 40 and 29. The median of the data is

(a) 30

(b) 35

(c) 29

(d) 40

## Answer

Answer: (d) 40

Question 13.

The median of first 10 prime numbers is

(a) 11

(b) 12

(c) 13

(d) none of these

## Answer

Answer: (b) 12

Question 14.

The measure of central tendency which is given by the x-coordinate of the point of intersection of the ‘more than’ ogive and ‘less than’ ogive is –

(a) Mean

(b) Median

(c) Mode

(d) None of these

## Answer

Answer: (b) Median

Question 15.

The mean and the median of a distribution are 45.9 and 46 respectively. The mode will be

(a) 45

(b) 47

(c) 48

(d) 46.2

## Answer

Answer: (d) 46.2

Question 16.

While computing mean of grouped data, we assume that the frequencies are

(a) evenly distributed over all the classes

(b) centred at the classmarks of the classes

(c) centred at the upper limits of the classes

(d) centred at the lower limits of the classes

## Answer

Answer: (b) centred at the classmarks of the classes

Question 17.

The age of 18 students of a class is reported below. Their modal age is 10, 17, 14, 10, 11, 12, 12, 13, 17, 13, 14, 14, 15, 16, 17, 15, 17, 16

(a) 22 years

(b) 17 years

(c) 14 years

(d) 16 years

## Answer

Answer: (b) 17 years

Question 18.

Which of the following can not be determined graphically?

(a) Mean

(b) Median

(c) Mode

(d) None of these

## Answer

Answer: (a) Mean

Question 19.

Construction of a cumulative frequency table is useful in determining the

(a) mean

(b) median

(c) mode

(d) all of the above

## Answer

Answer: (b) median

Question 20.

The mode of 4, 5, 6, 8, 5, 4, 8, 5, 6, x, 8 is 8. The value of ‘x’ is

(a) 4

(b) 5

(c) 6

(d) 8

## Answer

Answer: (d) 8

Question 21.

In a data, if I = 40, h = 15, f_{1}=7, f_{0}=3, f_{2}=6, then the mode is

(a) 52

(b) 62

(c) 72

(d) none of these

## Answer

Answer: (a) 52

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